Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1144 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 211 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#91801 | C2 | semidirect |
| 2. #11756475 | C2 | semidirect |
| 3. C3×C5×#493 | C2 | semidirect |
| 4. #11751256 | C2 | semidirect |
| 5. #11751177 | C2 | semidirect |
| 6. #11750800 | C2 | semidirect |
| 7. C4×C8×D15 | C2 | semidirect |
| 27. C5×#493 | D3 | semidirect |
| 50. C8×D15 | D4 | semidirect |
| 53. C3×#493 | D5 | semidirect |
| 128. #493 | D15 | semidirect |
| 136. C3×C4×C5 | #135 | semidirect |
| 216. C4×C5 | #912 | semidirect |
| 240. C3×C5 | #3147 | semidirect |
| 246. C3×C4 | #4058 | semidirect |
| 275. C5 | #81782 | semidirect |
| 284. C4 | #91801 | semidirect |
| 286. C3 | #10613513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91801 | 2 |
| #11756475 | 2 |
| C3×C5×#493 | 2 |
| #11751256 | 2 |
| #11751177 | 2 |
| #11750800 | 2 |
| C4×C8×D15 | 2 |
| #10613513 | 3 |
| #81782 | 5 |